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9990648 = 2333232011
BaseRepresentation
bin100110000111…
…000111111000
3200210120121000
4212013013320
510024200043
6554045000
7150630153
oct46070770
920716530
109990648
115704138
123419760
1320ba535
141480c9a
15d252d3
hex9871f8

9990648 has 64 divisors (see below), whose sum is σ = 28972800. Its totient is φ = 3183840.

The previous prime is 9990569. The next prime is 9990653. The reversal of 9990648 is 8460999.

9990648 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×99906483 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3963 + ... + 5973.

It is an arithmetic number, because the mean of its divisors is an integer number (452700).

Almost surely, 29990648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9990648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14486400).

9990648 is an abundant number, since it is smaller than the sum of its proper divisors (18982152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9990648 is a wasteful number, since it uses less digits than its factorization.

9990648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2049 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9990648 is about 3160.7986332571. The cubic root of 9990648 is about 215.3762871453.

The spelling of 9990648 in words is "nine million, nine hundred ninety thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2011 2484 4022 4968 6033 8044 12066 16088 18099 24132 36198 46253 48264 54297 72396 92506 108594 138759 144792 185012 217188 277518 370024 416277 434376 555036 832554 1110072 1248831 1665108 2497662 3330216 4995324 9990648